algebra.algebra.subalgebra.tower | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

a35ddf20

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

69c6a5a1

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Anne Baanen
 -/
-import Mathbin.Algebra.Algebra.Subalgebra.Basic
-import Mathbin.Algebra.Algebra.Tower
+import Algebra.Algebra.Subalgebra.Basic
+import Algebra.Algebra.Tower
 
 #align_import algebra.algebra.subalgebra.tower from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"

69c6a5a1

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Anne Baanen
-
-! This file was ported from Lean 3 source module algebra.algebra.subalgebra.tower
-! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Subalgebra.Basic
 import Mathbin.Algebra.Algebra.Tower
 
+#align_import algebra.algebra.subalgebra.tower from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
+
 /-!
 # Subalgebras in towers of algebras

69c6a5a1

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -49,9 +49,11 @@ variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
 
 variable {A}
 
+#print Algebra.lmul_algebraMap /-
 theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
   Eq.symm <| LinearMap.ext <| smul_def x
 #align algebra.lmul_algebra_map Algebra.lmul_algebraMap
+-/
 
 end Algebra
 
@@ -65,16 +67,20 @@ variable [Algebra R S] [Algebra S A]
 
 variable (R S A)
 
+#print IsScalarTower.subalgebra /-
 instance subalgebra (S₀ : Subalgebra R S) : IsScalarTower S₀ S A :=
   of_algebraMap_eq fun x => rfl
 #align is_scalar_tower.subalgebra IsScalarTower.subalgebra
+-/
 
 variable [Algebra R A] [IsScalarTower R S A]
 
+#print IsScalarTower.subalgebra' /-
 instance subalgebra' (S₀ : Subalgebra R S) : IsScalarTower R S₀ A :=
   @IsScalarTower.of_algebraMap_eq R S₀ A _ _ _ _ _ _ fun _ =>
     (IsScalarTower.algebraMap_apply R S A _ : _)
 #align is_scalar_tower.subalgebra' IsScalarTower.subalgebra'
+-/
 
 end Semiring
 
@@ -100,26 +106,34 @@ def restrictScalars (U : Subalgebra S A) : Subalgebra R A :=
 #align subalgebra.restrict_scalars Subalgebra.restrictScalars
 -/
 
+#print Subalgebra.coe_restrictScalars /-
 @[simp]
 theorem coe_restrictScalars {U : Subalgebra S A} : (restrictScalars R U : Set A) = (U : Set A) :=
   rfl
 #align subalgebra.coe_restrict_scalars Subalgebra.coe_restrictScalars
+-/
 
+#print Subalgebra.restrictScalars_top /-
 @[simp]
 theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
   SetLike.coe_injective rfl
 #align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_top
+-/
 
+#print Subalgebra.restrictScalars_toSubmodule /-
 @[simp]
 theorem restrictScalars_toSubmodule {U : Subalgebra S A} :
     (U.restrictScalars R).toSubmodule = U.toSubmodule.restrictScalars R :=
   SetLike.coe_injective rfl
 #align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmodule
+-/
 
+#print Subalgebra.mem_restrictScalars /-
 @[simp]
 theorem mem_restrictScalars {U : Subalgebra S A} {x : A} : x ∈ restrictScalars R U ↔ x ∈ U :=
   Iff.rfl
 #align subalgebra.mem_restrict_scalars Subalgebra.mem_restrictScalars
+-/
 
 #print Subalgebra.restrictScalars_injective /-
 theorem restrictScalars_injective :
@@ -128,6 +142,7 @@ theorem restrictScalars_injective :
 #align subalgebra.restrict_scalars_injective Subalgebra.restrictScalars_injective
 -/
 
+#print Subalgebra.ofRestrictScalars /-
 /-- Produces an `R`-algebra map from `U.restrict_scalars R` given an `S`-algebra map from `U`.
 
 This is a special case of `alg_hom.restrict_scalars` that can be helpful in elaboration. -/
@@ -135,6 +150,7 @@ This is a special case of `alg_hom.restrict_scalars` that can be helpful in elab
 def ofRestrictScalars (U : Subalgebra S A) (f : U →ₐ[S] B) : U.restrictScalars R →ₐ[R] B :=
   f.restrictScalars R
 #align subalgebra.of_restrict_scalars Subalgebra.ofRestrictScalars
+-/
 
 end Semiring

69c6a5a1

bump to nightly-2023-06-01-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

4d9eaa85

Diff

@@ -49,11 +49,9 @@ variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
 
 variable {A}
 
-#print Algebra.lmul_algebraMap /-
 theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
   Eq.symm <| LinearMap.ext <| smul_def x
 #align algebra.lmul_algebra_map Algebra.lmul_algebraMap
--/
 
 end Algebra

69c6a5a1

bump to nightly-2023-05-28-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

8d353152

Diff

@@ -35,7 +35,7 @@ compatibility condition `(r • s) • a = r • (s • a)`.
 -/
 
 
-open Pointwise
+open scoped Pointwise
 
 universe u v w u₁ v₁

69c6a5a1

bump to nightly-2023-05-28-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

ba5d8b97

Diff

@@ -67,21 +67,12 @@ variable [Algebra R S] [Algebra S A]
 
 variable (R S A)
 
-/- warning: is_scalar_tower.subalgebra -> IsScalarTower.subalgebra is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u2, u2, u3} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) S A (Subalgebra.hasSmul.{u1, u2, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S (Mul.toSMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))))) S₀) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) (Subalgebra.hasSmul.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) S₀)
-but is expected to have type
-  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u2, u2, u3} (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) S A (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S (Algebra.toSMul.{u2, u2} S S _inst_2 (CommSemiring.toSemiring.{u2} S _inst_2) (Algebra.id.{u2} S _inst_2)) S₀) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) S₀)
-Case conversion may be inaccurate. Consider using '#align is_scalar_tower.subalgebra IsScalarTower.subalgebraₓ'. -/
 instance subalgebra (S₀ : Subalgebra R S) : IsScalarTower S₀ S A :=
   of_algebraMap_eq fun x => rfl
 #align is_scalar_tower.subalgebra IsScalarTower.subalgebra
 
 variable [Algebra R A] [IsScalarTower R S A]
 
-/- warning: is_scalar_tower.subalgebra' -> IsScalarTower.subalgebra' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_scalar_tower.subalgebra' IsScalarTower.subalgebra'ₓ'. -/
 instance subalgebra' (S₀ : Subalgebra R S) : IsScalarTower R S₀ A :=
   @IsScalarTower.of_algebraMap_eq R S₀ A _ _ _ _ _ _ fun _ =>
     (IsScalarTower.algebraMap_apply R S A _ : _)
@@ -111,43 +102,22 @@ def restrictScalars (U : Subalgebra S A) : Subalgebra R A :=
 #align subalgebra.restrict_scalars Subalgebra.restrictScalars
 -/
 
-/- warning: subalgebra.coe_restrict_scalars -> Subalgebra.coe_restrictScalars is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Set.{u3} A) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Set.{u3} A) (HasLiftT.mk.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Set.{u3} A) (CoeTCₓ.coe.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Set.{u3} A) (SetLike.Set.hasCoeT.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Set.{u3} A) (HasLiftT.mk.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Set.{u3} A) (CoeTCₓ.coe.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Set.{u3} A) (SetLike.Set.hasCoeT.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) U)
-but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Set.{u3} A) (SetLike.coe.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (SetLike.coe.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) U)
-Case conversion may be inaccurate. Consider using '#align subalgebra.coe_restrict_scalars Subalgebra.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars {U : Subalgebra S A} : (restrictScalars R U : Set A) = (U : Set A) :=
   rfl
 #align subalgebra.coe_restrict_scalars Subalgebra.coe_restrictScalars
 
-/- warning: subalgebra.restrict_scalars_top -> Subalgebra.restrictScalars_top is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))], Eq.{succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 (Top.top.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (CompleteLattice.toHasTop.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.Subalgebra.completeLattice.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Top.top.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (CompleteLattice.toHasTop.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.Subalgebra.completeLattice.{u1, u3} R A _inst_1 _inst_3 _inst_7)))
-but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)], Eq.{succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 (Top.top.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (CompleteLattice.toTop.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.instCompleteLatticeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Top.top.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (CompleteLattice.toTop.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.instCompleteLatticeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))
-Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_topₓ'. -/
 @[simp]
 theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
   SetLike.coe_injective rfl
 #align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_top
 
-/- warning: subalgebra.restrict_scalars_to_submodule -> Subalgebra.restrictScalars_toSubmodule is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmoduleₓ'. -/
 @[simp]
 theorem restrictScalars_toSubmodule {U : Subalgebra S A} :
     (U.restrictScalars R).toSubmodule = U.toSubmodule.restrictScalars R :=
   SetLike.coe_injective rfl
 #align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmodule
 
-/- warning: subalgebra.mem_restrict_scalars -> Subalgebra.mem_restrictScalars is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6} {x : A}, Iff (Membership.Mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.hasMem.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Membership.Mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.hasMem.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)
-but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6} {x : A}, Iff (Membership.mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instMembership.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Membership.mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instMembership.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)
-Case conversion may be inaccurate. Consider using '#align subalgebra.mem_restrict_scalars Subalgebra.mem_restrictScalarsₓ'. -/
 @[simp]
 theorem mem_restrictScalars {U : Subalgebra S A} {x : A} : x ∈ restrictScalars R U ↔ x ∈ U :=
   Iff.rfl
@@ -160,9 +130,6 @@ theorem restrictScalars_injective :
 #align subalgebra.restrict_scalars_injective Subalgebra.restrictScalars_injective
 -/
 
-/- warning: subalgebra.of_restrict_scalars -> Subalgebra.ofRestrictScalars is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align subalgebra.of_restrict_scalars Subalgebra.ofRestrictScalarsₓ'. -/
 /-- Produces an `R`-algebra map from `U.restrict_scalars R` given an `S`-algebra map from `U`.
 
 This is a special case of `alg_hom.restrict_scalars` that can be helpful in elaboration. -/

69c6a5a1

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -107,10 +107,7 @@ variable [IsScalarTower R S A] [IsScalarTower R S B]
 /-- Given a tower `A / ↥U / S / R` of algebras, where `U` is an `S`-subalgebra of `A`, reinterpret
 `U` as an `R`-subalgebra of `A`. -/
 def restrictScalars (U : Subalgebra S A) : Subalgebra R A :=
-  { U with
-    algebraMap_mem' := fun x => by
-      rw [algebraMap_apply R S A]
-      exact U.algebra_map_mem _ }
+  { U with algebraMap_mem' := fun x => by rw [algebraMap_apply R S A]; exact U.algebra_map_mem _ }
 #align subalgebra.restrict_scalars Subalgebra.restrictScalars
 -/
 
@@ -197,8 +194,7 @@ theorem adjoin_range_toAlgHom (t : Set A) :
       by
       suffices Set.range (algebraMap (toAlgHom R S A).range A) = Set.range (algebraMap S A) by
         rw [this]
-      ext z
-      exact ⟨fun ⟨⟨x, y, h1⟩, h2⟩ => ⟨y, h2 ▸ h1⟩, fun ⟨y, hy⟩ => ⟨⟨z, y, hy⟩, rfl⟩⟩
+      ext z; exact ⟨fun ⟨⟨x, y, h1⟩, h2⟩ => ⟨y, h2 ▸ h1⟩, fun ⟨y, hy⟩ => ⟨⟨z, y, hy⟩, rfl⟩⟩
 #align is_scalar_tower.adjoin_range_to_alg_hom IsScalarTower.adjoin_range_toAlgHom
 -/

69c6a5a1

bump to nightly-2023-05-28-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6c6011cf

Diff

@@ -80,10 +80,7 @@ instance subalgebra (S₀ : Subalgebra R S) : IsScalarTower S₀ S A :=
 variable [Algebra R A] [IsScalarTower R S A]
 
 /- warning: is_scalar_tower.subalgebra' -> IsScalarTower.subalgebra' is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) A (SetLike.smul.{u1, u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) R S (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Subalgebra.smulMemClass.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S₀) (Subalgebra.hasSmul.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) S₀) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))
-but is expected to have type
-  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) A (Algebra.toSMul.{u1, u2} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) _inst_1 (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀) (Subalgebra.algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀)) (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) S₀) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_scalar_tower.subalgebra' IsScalarTower.subalgebra'ₓ'. -/
 instance subalgebra' (S₀ : Subalgebra R S) : IsScalarTower R S₀ A :=
   @IsScalarTower.of_algebraMap_eq R S₀ A _ _ _ _ _ _ fun _ =>
@@ -140,10 +137,7 @@ theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
 #align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_top
 
 /- warning: subalgebra.restrict_scalars_to_submodule -> Subalgebra.restrictScalars_toSubmodule is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) => (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) -> (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) _inst_10 (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) => (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) -> (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
-but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (fun (_x : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) _inst_10 (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (fun (_x : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
+<too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmoduleₓ'. -/
 @[simp]
 theorem restrictScalars_toSubmodule {U : Subalgebra S A} :
@@ -170,10 +164,7 @@ theorem restrictScalars_injective :
 -/
 
 /- warning: subalgebra.of_restrict_scalars -> Subalgebra.ofRestrictScalars is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Semiring.{u4} B] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_8 : Algebra.{u2, u4} S B _inst_2 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_4] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] [_inst_11 : IsScalarTower.{u1, u2, u4} R S B (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u4} S B (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u2, u4} S B (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u2, u4} S B (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (Module.toMulActionWithZero.{u2, u4} S B (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4))) (Algebra.toModule.{u2, u4} S B _inst_2 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u1, u4} R B (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u4} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4))) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_4 _inst_9)))))] (U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6), (AlgHom.{u2, u3, u4} S (coeSort.{succ u3, succ (succ u3)} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)) U) B _inst_2 (Subalgebra.toSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_4 (Subalgebra.algebra.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_8) -> (AlgHom.{u1, u3, u4} R (coeSort.{succ u3, succ (succ u3)} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) B _inst_1 (Subalgebra.toSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_4 (Subalgebra.algebra.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_9)
-but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Semiring.{u4} B] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_8 : Algebra.{u2, u4} S B _inst_2 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_4] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] [_inst_11 : IsScalarTower.{u1, u2, u4} R S B (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u4} S B _inst_2 _inst_4 _inst_8) (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_4 _inst_9)] (U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6), (AlgHom.{u2, u3, u4} S (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instMembership.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)) B _inst_2 (Subalgebra.toSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_4 (Subalgebra.algebra.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_8) -> (AlgHom.{u1, u3, u4} R (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instMembership.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U))) B _inst_1 (Subalgebra.toSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_4 (Subalgebra.algebra.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_9)
+<too large>
 Case conversion may be inaccurate. Consider using '#align subalgebra.of_restrict_scalars Subalgebra.ofRestrictScalarsₓ'. -/
 /-- Produces an `R`-algebra map from `U.restrict_scalars R` given an `S`-algebra map from `U`.

69c6a5a1

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -83,7 +83,7 @@ variable [Algebra R A] [IsScalarTower R S A]
 lean 3 declaration is
   forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) A (SetLike.smul.{u1, u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) R S (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Subalgebra.smulMemClass.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S₀) (Subalgebra.hasSmul.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) S₀) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))
 but is expected to have type
-  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) A (Algebra.toSMul.{u1, u2} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) _inst_1 (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀)) (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) S₀) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)
+  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) A (Algebra.toSMul.{u1, u2} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) _inst_1 (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀) (Subalgebra.algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀)) (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) S₀) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)
 Case conversion may be inaccurate. Consider using '#align is_scalar_tower.subalgebra' IsScalarTower.subalgebra'ₓ'. -/
 instance subalgebra' (S₀ : Subalgebra R S) : IsScalarTower R S₀ A :=
   @IsScalarTower.of_algebraMap_eq R S₀ A _ _ _ _ _ _ fun _ =>
@@ -173,7 +173,7 @@ theorem restrictScalars_injective :
 lean 3 declaration is
   forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Semiring.{u4} B] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_8 : Algebra.{u2, u4} S B _inst_2 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_4] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] [_inst_11 : IsScalarTower.{u1, u2, u4} R S B (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u4} S B (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u2, u4} S B (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u2, u4} S B (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (Module.toMulActionWithZero.{u2, u4} S B (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4))) (Algebra.toModule.{u2, u4} S B _inst_2 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u1, u4} R B (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u4} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4))) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_4 _inst_9)))))] (U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6), (AlgHom.{u2, u3, u4} S (coeSort.{succ u3, succ (succ u3)} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)) U) B _inst_2 (Subalgebra.toSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_4 (Subalgebra.algebra.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_8) -> (AlgHom.{u1, u3, u4} R (coeSort.{succ u3, succ (succ u3)} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) B _inst_1 (Subalgebra.toSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_4 (Subalgebra.algebra.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_9)
 but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Semiring.{u4} B] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_8 : Algebra.{u2, u4} S B _inst_2 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_4] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] [_inst_11 : IsScalarTower.{u1, u2, u4} R S B (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u4} S B _inst_2 _inst_4 _inst_8) (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_4 _inst_9)] (U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6), (AlgHom.{u2, u3, u4} S (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instMembership.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)) B _inst_2 (Subalgebra.toSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_4 (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_8) -> (AlgHom.{u1, u3, u4} R (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instMembership.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U))) B _inst_1 (Subalgebra.toSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_4 (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_9)
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Semiring.{u4} B] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_8 : Algebra.{u2, u4} S B _inst_2 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_4] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] [_inst_11 : IsScalarTower.{u1, u2, u4} R S B (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u4} S B _inst_2 _inst_4 _inst_8) (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_4 _inst_9)] (U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6), (AlgHom.{u2, u3, u4} S (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instMembership.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)) B _inst_2 (Subalgebra.toSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_4 (Subalgebra.algebra.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_8) -> (AlgHom.{u1, u3, u4} R (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instMembership.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U))) B _inst_1 (Subalgebra.toSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_4 (Subalgebra.algebra.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_9)
 Case conversion may be inaccurate. Consider using '#align subalgebra.of_restrict_scalars Subalgebra.ofRestrictScalarsₓ'. -/
 /-- Produces an `R`-algebra map from `U.restrict_scalars R` given an `S`-algebra map from `U`.

69c6a5a1

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -143,7 +143,7 @@ theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
 lean 3 declaration is
   forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) => (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) -> (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) _inst_10 (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) => (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) -> (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
 but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (fun (_x : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) _inst_10 (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (fun (_x : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (fun (_x : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) _inst_10 (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (fun (_x : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.869 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.684 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.682 x._@.Mathlib.Order.Hom.Basic._hyg.684) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.699 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.697 x._@.Mathlib.Order.Hom.Basic._hyg.699))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
 Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmoduleₓ'. -/
 @[simp]
 theorem restrictScalars_toSubmodule {U : Subalgebra S A} :

69c6a5a1

bump to nightly-2023-05-16-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

9cb92e8c

Diff

@@ -141,7 +141,7 @@ theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
 
 /- warning: subalgebra.restrict_scalars_to_submodule -> Subalgebra.restrictScalars_toSubmodule is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) => (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) -> (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) _inst_10 (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) => (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) -> (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) => (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) -> (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toHasLe.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toHasLe.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) _inst_10 (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) => (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) -> (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toHasLe.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toHasLe.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
 but is expected to have type
   forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (fun (_x : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) _inst_10 (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (fun (_x : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
 Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmoduleₓ'. -/

69c6a5a1

bump to nightly-2023-05-09-00

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

a5be454e

Diff

@@ -112,7 +112,7 @@ variable [IsScalarTower R S A] [IsScalarTower R S B]
 def restrictScalars (U : Subalgebra S A) : Subalgebra R A :=
   { U with
     algebraMap_mem' := fun x => by
-      rw [algebra_map_apply R S A]
+      rw [algebraMap_apply R S A]
       exact U.algebra_map_mem _ }
 #align subalgebra.restrict_scalars Subalgebra.restrictScalars
 -/

69c6a5a1

bump to nightly-2023-05-02-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/39478763114722f0ec7613cb2f3f7701f9b86c8d

e5023853

Diff

@@ -81,7 +81,7 @@ variable [Algebra R A] [IsScalarTower R S A]
 
 /- warning: is_scalar_tower.subalgebra' -> IsScalarTower.subalgebra' is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) A (SMulZeroClass.toHasSmul.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddZeroClass.toHasZero.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddMonoid.toAddZeroClass.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddCommMonoid.toAddMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddMonoid.toAddZeroClass.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddCommMonoid.toAddMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddMonoid.toAddZeroClass.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddCommMonoid.toAddMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))))) (Module.toMulActionWithZero.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀)))) (Subalgebra.module.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))) (Subalgebra.hasSmul.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) S₀) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))
+  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) A (SetLike.smul.{u1, u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) R S (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Subalgebra.smulMemClass.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S₀) (Subalgebra.hasSmul.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) S₀) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))
 but is expected to have type
   forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) A (Algebra.toSMul.{u1, u2} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) _inst_1 (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀)) (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) S₀) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)
 Case conversion may be inaccurate. Consider using '#align is_scalar_tower.subalgebra' IsScalarTower.subalgebra'ₓ'. -/

69c6a5a1

bump to nightly-2023-04-25-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/2651125b48fc5c170ab1111afd0817c903b1fc6c

ed327085

Diff

@@ -50,8 +50,7 @@ variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
 variable {A}
 
 #print Algebra.lmul_algebraMap /-
-theorem lmul_algebraMap (x : R) :
-    LinearMap.Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
+theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
   Eq.symm <| LinearMap.ext <| smul_def x
 #align algebra.lmul_algebra_map Algebra.lmul_algebraMap
 -/

69c6a5a1

bump to nightly-2023-04-20-10

mathlib commit https://github.com/leanprover-community/mathlib/commit/730c6d4cab72b9d84fcfb9e95e8796e9cd8f40ba

fbfe5c3e

Diff

@@ -144,7 +144,7 @@ theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
 lean 3 declaration is
   forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) => (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) -> (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) _inst_10 (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) => (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) -> (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
 but is expected to have type
-  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (FunLike.coe.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (fun (_x : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) _x) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Function.instEmbeddingLikeEmbedding.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (RelEmbedding.toEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) _inst_10 (FunLike.coe.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (fun (_x : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) _x) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Function.instEmbeddingLikeEmbedding.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (RelEmbedding.toEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) U))
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} ((fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (fun (_x : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) _inst_10 (FunLike.coe.{succ u3, succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (fun (_x : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => (fun (x._@.Mathlib.Order.RelIso.Basic._hyg.867 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) _x) (RelHomClass.toFunLike.{u3, u3, u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (RelEmbedding.instRelHomClassRelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
 Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmoduleₓ'. -/
 @[simp]
 theorem restrictScalars_toSubmodule {U : Subalgebra S A} :

69c6a5a1

bump to nightly-2023-03-14-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2

d4b38a42

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Anne Baanen
 
 ! This file was ported from Lean 3 source module algebra.algebra.subalgebra.tower
-! leanprover-community/mathlib commit a35ddf20601f85f78cd57e7f5b09ed528d71b7af
+! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Algebra.Algebra.Tower
 /-!
 # Subalgebras in towers of algebras
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we prove facts about subalgebras in towers of algebra.
 
 An algebra tower A/S/R is expressed by having instances of `algebra A S`,

a35ddf20

bump to nightly-2023-03-11-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212

1d00e3b6

Diff

@@ -46,10 +46,12 @@ variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
 
 variable {A}
 
+#print Algebra.lmul_algebraMap /-
 theorem lmul_algebraMap (x : R) :
     LinearMap.Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
   Eq.symm <| LinearMap.ext <| smul_def x
 #align algebra.lmul_algebra_map Algebra.lmul_algebraMap
+-/
 
 end Algebra
 
@@ -63,12 +65,24 @@ variable [Algebra R S] [Algebra S A]
 
 variable (R S A)
 
+/- warning: is_scalar_tower.subalgebra -> IsScalarTower.subalgebra is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u2, u2, u3} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) S A (Subalgebra.hasSmul.{u1, u2, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S (Mul.toSMul.{u2} S (Distrib.toHasMul.{u2} S (NonUnitalNonAssocSemiring.toDistrib.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))))) S₀) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) (Subalgebra.hasSmul.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) S₀)
+but is expected to have type
+  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u2, u2, u3} (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) S A (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S (Algebra.toSMul.{u2, u2} S S _inst_2 (CommSemiring.toSemiring.{u2} S _inst_2) (Algebra.id.{u2} S _inst_2)) S₀) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) S₀)
+Case conversion may be inaccurate. Consider using '#align is_scalar_tower.subalgebra IsScalarTower.subalgebraₓ'. -/
 instance subalgebra (S₀ : Subalgebra R S) : IsScalarTower S₀ S A :=
   of_algebraMap_eq fun x => rfl
 #align is_scalar_tower.subalgebra IsScalarTower.subalgebra
 
 variable [Algebra R A] [IsScalarTower R S A]
 
+/- warning: is_scalar_tower.subalgebra' -> IsScalarTower.subalgebra' is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) A (SMulZeroClass.toHasSmul.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddZeroClass.toHasZero.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddMonoid.toAddZeroClass.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddCommMonoid.toAddMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddMonoid.toAddZeroClass.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddCommMonoid.toAddMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddMonoid.toAddZeroClass.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (AddCommMonoid.toAddMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))))) (Module.toMulActionWithZero.{u1, u2} R (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Semiring.toNonAssocSemiring.{u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.setLike.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) S₀) (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀)))) (Subalgebra.module.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀))))) (Subalgebra.hasSmul.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_5))))) S₀) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_6)))))
+but is expected to have type
+  forall (R : Type.{u1}) (S : Type.{u2}) (A : Type.{u3}) [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_5 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_6 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_7 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)] (S₀ : Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4), IsScalarTower.{u1, u2, u3} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) A (Algebra.toSMul.{u1, u2} R (Subtype.{succ u2} S (fun (x : S) => Membership.mem.{u2, u2} S (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4) S (Subalgebra.instSetLikeSubalgebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4)) x S₀)) _inst_1 (Subalgebra.toSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀) (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 S₀)) (Subalgebra.instSMulSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebra.{u1, u2, u3} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_4 A (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_5) S₀) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_6)
+Case conversion may be inaccurate. Consider using '#align is_scalar_tower.subalgebra' IsScalarTower.subalgebra'ₓ'. -/
 instance subalgebra' (S₀ : Subalgebra R S) : IsScalarTower R S₀ A :=
   @IsScalarTower.of_algebraMap_eq R S₀ A _ _ _ _ _ _ fun _ =>
     (IsScalarTower.algebraMap_apply R S A _ : _)
@@ -90,6 +104,7 @@ variable [Algebra R S] [Algebra S A] [Algebra R A] [Algebra S B] [Algebra R B]
 
 variable [IsScalarTower R S A] [IsScalarTower R S B]
 
+#print Subalgebra.restrictScalars /-
 /-- Given a tower `A / ↥U / S / R` of algebras, where `U` is an `S`-subalgebra of `A`, reinterpret
 `U` as an `R`-subalgebra of `A`. -/
 def restrictScalars (U : Subalgebra S A) : Subalgebra R A :=
@@ -98,33 +113,66 @@ def restrictScalars (U : Subalgebra S A) : Subalgebra R A :=
       rw [algebra_map_apply R S A]
       exact U.algebra_map_mem _ }
 #align subalgebra.restrict_scalars Subalgebra.restrictScalars
+-/
 
+/- warning: subalgebra.coe_restrict_scalars -> Subalgebra.coe_restrictScalars is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Set.{u3} A) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Set.{u3} A) (HasLiftT.mk.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Set.{u3} A) (CoeTCₓ.coe.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Set.{u3} A) (SetLike.Set.hasCoeT.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Set.{u3} A) (HasLiftT.mk.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Set.{u3} A) (CoeTCₓ.coe.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Set.{u3} A) (SetLike.Set.hasCoeT.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) U)
+but is expected to have type
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Set.{u3} A) (SetLike.coe.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (SetLike.coe.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) U)
+Case conversion may be inaccurate. Consider using '#align subalgebra.coe_restrict_scalars Subalgebra.coe_restrictScalarsₓ'. -/
 @[simp]
 theorem coe_restrictScalars {U : Subalgebra S A} : (restrictScalars R U : Set A) = (U : Set A) :=
   rfl
 #align subalgebra.coe_restrict_scalars Subalgebra.coe_restrictScalars
 
+/- warning: subalgebra.restrict_scalars_top -> Subalgebra.restrictScalars_top is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))], Eq.{succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 (Top.top.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (CompleteLattice.toHasTop.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.Subalgebra.completeLattice.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Top.top.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (CompleteLattice.toHasTop.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.Subalgebra.completeLattice.{u1, u3} R A _inst_1 _inst_3 _inst_7)))
+but is expected to have type
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)], Eq.{succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 (Top.top.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (CompleteLattice.toTop.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.instCompleteLatticeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Top.top.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (CompleteLattice.toTop.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.instCompleteLatticeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))
+Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_topₓ'. -/
 @[simp]
 theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
   SetLike.coe_injective rfl
 #align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_top
 
+/- warning: subalgebra.restrict_scalars_to_submodule -> Subalgebra.restrictScalars_toSubmodule is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) => (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) -> (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7))))) (LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))))) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) _inst_10 (coeFn.{succ u3, succ u3} (OrderEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))))) (fun (_x : RelEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) => (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) -> (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (RelEmbedding.hasCoeToFun.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.partialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteSemilatticeInf.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.toCompleteSemilatticeInf.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))))) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6) U))
+but is expected to have type
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6}, Eq.{succ u3} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (FunLike.coe.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (fun (_x : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) _x) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7))) (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Function.instEmbeddingLikeEmbedding.{succ u3, succ u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) (RelEmbedding.toEmbedding.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) => LE.le.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Preorder.toLE.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (PartialOrder.toPreorder.{u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) => LE.le.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Preorder.toLE.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (PartialOrder.toPreorder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Submodule.completeLattice.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Subalgebra.toSubmodule.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Submodule.restrictScalars.{u1, u2, u3} R S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (CommSemiring.toSemiring.{u1} R _inst_1) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) _inst_10 (FunLike.coe.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (fun (_x : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) _x) (EmbeddingLike.toFunLike.{succ u3, succ u3, succ u3} (Function.Embedding.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))) (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Function.instEmbeddingLikeEmbedding.{succ u3, succ u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) (RelEmbedding.toEmbedding.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.680 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (x._@.Mathlib.Order.Hom.Basic._hyg.682 : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) => LE.le.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Preorder.toLE.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (PartialOrder.toPreorder.{u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instPartialOrder.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)))) x._@.Mathlib.Order.Hom.Basic._hyg.680 x._@.Mathlib.Order.Hom.Basic._hyg.682) (fun (x._@.Mathlib.Order.Hom.Basic._hyg.695 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (x._@.Mathlib.Order.Hom.Basic._hyg.697 : Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) => LE.le.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Preorder.toLE.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (PartialOrder.toPreorder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (OmegaCompletePartialOrder.toPartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (CompleteLattice.instOmegaCompletePartialOrder.{u3} (Submodule.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) (Submodule.completeLattice.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6)))))) x._@.Mathlib.Order.Hom.Basic._hyg.695 x._@.Mathlib.Order.Hom.Basic._hyg.697) (Subalgebra.toSubmodule.{u2, u3} S A _inst_2 _inst_3 _inst_6)) U))
+Case conversion may be inaccurate. Consider using '#align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmoduleₓ'. -/
 @[simp]
 theorem restrictScalars_toSubmodule {U : Subalgebra S A} :
     (U.restrictScalars R).toSubmodule = U.toSubmodule.restrictScalars R :=
   SetLike.coe_injective rfl
 #align subalgebra.restrict_scalars_to_submodule Subalgebra.restrictScalars_toSubmodule
 
+/- warning: subalgebra.mem_restrict_scalars -> Subalgebra.mem_restrictScalars is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6} {x : A}, Iff (Membership.Mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.hasMem.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Membership.Mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.hasMem.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)
+but is expected to have type
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] {U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6} {x : A}, Iff (Membership.mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instMembership.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) (Membership.mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instMembership.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)
+Case conversion may be inaccurate. Consider using '#align subalgebra.mem_restrict_scalars Subalgebra.mem_restrictScalarsₓ'. -/
 @[simp]
 theorem mem_restrictScalars {U : Subalgebra S A} {x : A} : x ∈ restrictScalars R U ↔ x ∈ U :=
   Iff.rfl
 #align subalgebra.mem_restrict_scalars Subalgebra.mem_restrictScalars
 
+#print Subalgebra.restrictScalars_injective /-
 theorem restrictScalars_injective :
     Function.Injective (restrictScalars R : Subalgebra S A → Subalgebra R A) := fun U V H =>
   ext fun x => by rw [← mem_restrict_scalars R, H, mem_restrict_scalars]
 #align subalgebra.restrict_scalars_injective Subalgebra.restrictScalars_injective
+-/
 
+/- warning: subalgebra.of_restrict_scalars -> Subalgebra.ofRestrictScalars is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Semiring.{u4} B] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_8 : Algebra.{u2, u4} S B _inst_2 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_4] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u3} S A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u2, u3} S A (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u2, u3} S A (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u2, u3} S A (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u2, u3} S A _inst_2 _inst_3 _inst_6))))) (SMulZeroClass.toHasSmul.{u1, u3} R A (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (SMulWithZero.toSmulZeroClass.{u1, u3} R A (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (MulActionWithZero.toSMulWithZero.{u1, u3} R A (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u3} A (AddMonoid.toAddZeroClass.{u3} A (AddCommMonoid.toAddMonoid.{u3} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3)))))) (Module.toMulActionWithZero.{u1, u3} R A (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A _inst_3))) (Algebra.toModule.{u1, u3} R A _inst_1 _inst_3 _inst_7)))))] [_inst_11 : IsScalarTower.{u1, u2, u4} R S B (SMulZeroClass.toHasSmul.{u1, u2} R S (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (SMulWithZero.toSmulZeroClass.{u1, u2} R S (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u1, u2} R S (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u2} S (AddMonoid.toAddZeroClass.{u2} S (AddCommMonoid.toAddMonoid.{u2} S (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))))) (Module.toMulActionWithZero.{u1, u2} R S (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} S (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} S (Semiring.toNonAssocSemiring.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)))) (Algebra.toModule.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5))))) (SMulZeroClass.toHasSmul.{u2, u4} S B (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u2, u4} S B (MulZeroClass.toHasZero.{u2} S (MulZeroOneClass.toMulZeroClass.{u2} S (MonoidWithZero.toMulZeroOneClass.{u2} S (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2))))) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u2, u4} S B (Semiring.toMonoidWithZero.{u2} S (CommSemiring.toSemiring.{u2} S _inst_2)) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (Module.toMulActionWithZero.{u2, u4} S B (CommSemiring.toSemiring.{u2} S _inst_2) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4))) (Algebra.toModule.{u2, u4} S B _inst_2 _inst_4 _inst_8))))) (SMulZeroClass.toHasSmul.{u1, u4} R B (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (SMulWithZero.toSmulZeroClass.{u1, u4} R B (MulZeroClass.toHasZero.{u1} R (MulZeroOneClass.toMulZeroClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1))))) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (MulActionWithZero.toSMulWithZero.{u1, u4} R B (Semiring.toMonoidWithZero.{u1} R (CommSemiring.toSemiring.{u1} R _inst_1)) (AddZeroClass.toHasZero.{u4} B (AddMonoid.toAddZeroClass.{u4} B (AddCommMonoid.toAddMonoid.{u4} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4)))))) (Module.toMulActionWithZero.{u1, u4} R B (CommSemiring.toSemiring.{u1} R _inst_1) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u4} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u4} B (Semiring.toNonAssocSemiring.{u4} B _inst_4))) (Algebra.toModule.{u1, u4} R B _inst_1 _inst_4 _inst_9)))))] (U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6), (AlgHom.{u2, u3, u4} S (coeSort.{succ u3, succ (succ u3)} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.setLike.{u2, u3} S A _inst_2 _inst_3 _inst_6)) U) B _inst_2 (Subalgebra.toSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_4 (Subalgebra.algebra.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_8) -> (AlgHom.{u1, u3, u4} R (coeSort.{succ u3, succ (succ u3)} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) Type.{u3} (SetLike.hasCoeToSort.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.setLike.{u1, u3} R A _inst_1 _inst_3 _inst_7)) (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) B _inst_1 (Subalgebra.toSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_4 (Subalgebra.algebra.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_9)
+but is expected to have type
+  forall (R : Type.{u1}) {S : Type.{u2}} {A : Type.{u3}} {B : Type.{u4}} [_inst_1 : CommSemiring.{u1} R] [_inst_2 : CommSemiring.{u2} S] [_inst_3 : Semiring.{u3} A] [_inst_4 : Semiring.{u4} B] [_inst_5 : Algebra.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2)] [_inst_6 : Algebra.{u2, u3} S A _inst_2 _inst_3] [_inst_7 : Algebra.{u1, u3} R A _inst_1 _inst_3] [_inst_8 : Algebra.{u2, u4} S B _inst_2 _inst_4] [_inst_9 : Algebra.{u1, u4} R B _inst_1 _inst_4] [_inst_10 : IsScalarTower.{u1, u2, u3} R S A (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u3} S A _inst_2 _inst_3 _inst_6) (Algebra.toSMul.{u1, u3} R A _inst_1 _inst_3 _inst_7)] [_inst_11 : IsScalarTower.{u1, u2, u4} R S B (Algebra.toSMul.{u1, u2} R S _inst_1 (CommSemiring.toSemiring.{u2} S _inst_2) _inst_5) (Algebra.toSMul.{u2, u4} S B _inst_2 _inst_4 _inst_8) (Algebra.toSMul.{u1, u4} R B _inst_1 _inst_4 _inst_9)] (U : Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6), (AlgHom.{u2, u3, u4} S (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) (SetLike.instMembership.{u3, u3} (Subalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6) A (Subalgebra.instSetLikeSubalgebra.{u2, u3} S A _inst_2 _inst_3 _inst_6)) x U)) B _inst_2 (Subalgebra.toSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_4 (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u2, u3} S A _inst_2 _inst_3 _inst_6 U) _inst_8) -> (AlgHom.{u1, u3, u4} R (Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) (SetLike.instMembership.{u3, u3} (Subalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7) A (Subalgebra.instSetLikeSubalgebra.{u1, u3} R A _inst_1 _inst_3 _inst_7)) x (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U))) B _inst_1 (Subalgebra.toSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_4 (Subalgebra.instAlgebraSubtypeMemSubalgebraInstMembershipInstSetLikeSubalgebraToSemiring.{u1, u3} R A _inst_1 _inst_3 _inst_7 (Subalgebra.restrictScalars.{u1, u2, u3} R S A _inst_1 _inst_2 _inst_3 _inst_5 _inst_6 _inst_7 _inst_10 U)) _inst_9)
+Case conversion may be inaccurate. Consider using '#align subalgebra.of_restrict_scalars Subalgebra.ofRestrictScalarsₓ'. -/
 /-- Produces an `R`-algebra map from `U.restrict_scalars R` given an `S`-algebra map from `U`.
 
 This is a special case of `alg_hom.restrict_scalars` that can be helpful in elaboration. -/
@@ -145,6 +193,7 @@ variable [CommSemiring R] [CommSemiring S] [CommSemiring A]
 
 variable [Algebra R S] [Algebra S A] [Algebra R A] [IsScalarTower R S A]
 
+#print IsScalarTower.adjoin_range_toAlgHom /-
 theorem adjoin_range_toAlgHom (t : Set A) :
     (Algebra.adjoin (toAlgHom R S A).range t).restrictScalars R =
       (Algebra.adjoin S t).restrictScalars R :=
@@ -158,6 +207,7 @@ theorem adjoin_range_toAlgHom (t : Set A) :
       ext z
       exact ⟨fun ⟨⟨x, y, h1⟩, h2⟩ => ⟨y, h2 ▸ h1⟩, fun ⟨y, hy⟩ => ⟨⟨z, y, hy⟩, rfl⟩⟩
 #align is_scalar_tower.adjoin_range_to_alg_hom IsScalarTower.adjoin_range_toAlgHom
+-/
 
 end IsScalarTower

a35ddf20

bump to nightly-2023-03-01-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

20cadee0

Diff

@@ -46,7 +46,8 @@ variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
 
 variable {A}
 
-theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
+theorem lmul_algebraMap (x : R) :
+    LinearMap.Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
   Eq.symm <| LinearMap.ext <| smul_def x
 #align algebra.lmul_algebra_map Algebra.lmul_algebraMap

a35ddf20

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

a35ddf20

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -38,9 +38,7 @@ variable (R : Type u) (S : Type v) (A : Type w) (B : Type u₁) (M : Type v₁)
 namespace Algebra
 
 variable [CommSemiring R] [Semiring A] [Algebra R A]
-
 variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
-
 variable {A}
 
 theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R R A x :=
@@ -54,7 +52,6 @@ namespace IsScalarTower
 section Semiring
 
 variable [CommSemiring R] [CommSemiring S] [Semiring A]
-
 variable [Algebra R S] [Algebra S A]
 
 instance subalgebra (S₀ : Subalgebra R S) : IsScalarTower S₀ S A :=
@@ -79,9 +76,7 @@ open IsScalarTower
 section Semiring
 
 variable {S A B} [CommSemiring R] [CommSemiring S] [Semiring A] [Semiring B]
-
 variable [Algebra R S] [Algebra S A] [Algebra R A] [Algebra S B] [Algebra R B]
-
 variable [IsScalarTower R S A] [IsScalarTower R S B]
 
 /-- Given a tower `A / ↥U / S / R` of algebras, where `U` is an `S`-subalgebra of `A`, reinterpret
@@ -149,7 +144,6 @@ namespace IsScalarTower
 open Subalgebra
 
 variable [CommSemiring R] [CommSemiring S] [CommSemiring A]
-
 variable [Algebra R S] [Algebra S A] [Algebra R A] [IsScalarTower R S A]
 
 theorem adjoin_range_toAlgHom (t : Set A) :

a35ddf20

style: homogenise porting notes (#11145)

Homogenises porting notes via capitalisation and addition of whitespace.

It makes the following changes:

converts "--porting note" into "-- Porting note";
converts "porting note" into "Porting note".

8be0b69c

Diff

@@ -100,7 +100,7 @@ theorem coe_restrictScalars {U : Subalgebra S A} : (restrictScalars R U : Set A)
 
 @[simp]
 theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
-  SetLike.coe_injective <| by dsimp -- porting note: why does `rfl` not work instead of `by dsimp`?
+  SetLike.coe_injective <| by dsimp -- Porting note: why does `rfl` not work instead of `by dsimp`?
 #align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_top
 
 @[simp]

a35ddf20

chore(*): replace $ with <| (#9319)

See Zulip thread for the discussion.

9f6d3388

Diff

@@ -100,7 +100,7 @@ theorem coe_restrictScalars {U : Subalgebra S A} : (restrictScalars R U : Set A)
 
 @[simp]
 theorem restrictScalars_top : restrictScalars R (⊤ : Subalgebra S A) = ⊤ :=
-  SetLike.coe_injective $ by dsimp -- porting note: why does `rfl` not work instead of `by dsimp`?
+  SetLike.coe_injective <| by dsimp -- porting note: why does `rfl` not work instead of `by dsimp`?
 #align subalgebra.restrict_scalars_top Subalgebra.restrictScalars_top
 
 @[simp]

a35ddf20

feat: generalize scalars in Algebra.lsmul (#6209)

This generalizes from Algebra.lsmul R M : A →ₐ[R] Module.End R M to Algebra.lsmul R S M : A →ₐ[R] Module.End S M.

This generalization was previously not possible because Module.End S M was not an R-algebra.

Notably this now allows things like Algebra.lsmul R A A : Aᵐᵒᵖ →ₐ[R] Module.End A A (right multiplication).

This doesn't bother attempting to generalize uses in downstream files, as most of them probably do not need the generality. Instead, we just replace Algebra.lsmul R with Algebra.lsmul R R.

8368c269

Diff

@@ -43,7 +43,7 @@ variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
 
 variable {A}
 
-theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
+theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R R A x :=
   Eq.symm <| LinearMap.ext <| smul_def x
 #align algebra.lmul_algebra_map Algebra.lmul_algebraMap

a35ddf20

feat(NumberTheory.NumberField.Basic): add mem_span_integralBasis (#5996)

Add the following result:

theorem mem_span_integralBasis {x : K} :
    x ∈ Submodule.span ℤ (Set.range (integralBasis K)) ↔ x ∈ 𝓞 K

that is, integralBasis is indeed a ℤ-basis of the ring of integers.

Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com>

6538bed2

Diff

@@ -129,6 +129,19 @@ def ofRestrictScalars (U : Subalgebra S A) (f : U →ₐ[S] B) : U.restrictScala
 
 end Semiring
 
+section CommSemiring
+
+@[simp]
+lemma range_isScalarTower_toAlgHom [CommSemiring R] [CommSemiring A]
+    [Algebra R A] (S : Subalgebra R A) :
+    LinearMap.range (IsScalarTower.toAlgHom R S A) = Subalgebra.toSubmodule S := by
+  ext
+  simp only [← Submodule.range_subtype (Subalgebra.toSubmodule S), LinearMap.mem_range,
+    IsScalarTower.coe_toAlgHom', Subalgebra.mem_toSubmodule]
+  rfl
+
+end CommSemiring
+
 end Subalgebra
 
 namespace IsScalarTower

a35ddf20

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Anne Baanen
-
-! This file was ported from Lean 3 source module algebra.algebra.subalgebra.tower
-! leanprover-community/mathlib commit a35ddf20601f85f78cd57e7f5b09ed528d71b7af
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Algebra.Subalgebra.Basic
 import Mathlib.Algebra.Algebra.Tower
 
+#align_import algebra.algebra.subalgebra.tower from "leanprover-community/mathlib"@"a35ddf20601f85f78cd57e7f5b09ed528d71b7af"
+
 /-!
 # Subalgebras in towers of algebras

a35ddf20

fix: add missing _root_ (#3630)

Mathport doesn't understand this, and apparently nor do many of the humans fixing the errors it creates.

If your #align statement complains the def doesn't exist, don't change the #align; work out why it doesn't exist instead.

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

b7f71b0a

Diff

@@ -46,8 +46,7 @@ variable [AddCommMonoid M] [Module R M] [Module A M] [IsScalarTower R A M]
 
 variable {A}
 
-theorem lmul_algebraMap (x : R) :
-    LinearMap.Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
+theorem lmul_algebraMap (x : R) : Algebra.lmul R A (algebraMap R A x) = Algebra.lsmul R A x :=
   Eq.symm <| LinearMap.ext <| smul_def x
 #align algebra.lmul_algebra_map Algebra.lmul_algebraMap

a35ddf20

feat: port Algebra.Algebra.Subalgebra.Tower (#2790)

566f6de6

`algebra.algebra.subalgebra.tower` ⟷ `Mathlib.Algebra.Algebra.Subalgebra.Tower`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 454

algebra.algebra.subalgebra.tower ⟷ Mathlib.Algebra.Algebra.Subalgebra.Tower

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 454

`algebra.algebra.subalgebra.tower` ⟷ `Mathlib.Algebra.Algebra.Subalgebra.Tower`